12. (y + 1)^8
How to expand this binomial?

Answers

Answer 1

Answer:

[tex] {y}^{8} + 8 {y}^{7} + 28 {y}^{6} + 56 {y}^{5} + 70 {y}^{4} + 56 {y}^{3} + 28 {y}^{2} + 8y + 1[/tex]

Answer 2

Answer:

Step-by-step explanation:

This is an ugly binomial expansion, which you should try to remember

These are the coefficients for the power

1,2,1 for power two

1,3,3,1 for p=3

1,4,6,4,1 for p=4

1,5,10,10,5,1 for p=5

you should see a pattern here :)

1,8,28,56,70,56,28,8,1

In general the terms are ordered for the expansion of (a+b) that has the form

a^n(b^0)+a^(n-1)b^1+...a^0(b^n) since we have (y+1)^8 we wind up with

y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1


Related Questions

There are GCF of two numbers is three and the LCM is 180. If one of the numbers is 45,what is the other number ?

Answers

Answer:

The other number is 12

Step-by-step explanation:

There are GCF of two numbers is three and the LCM is 180. If one of the numbers is 45,what is the other number ?

Let us represent the other number as x

There are GCF of two numbers is three and the LCM is 180.

Therefore:

45 × x = 3 × 180

45x = 3 × 180

x = 3 × 180/45

x = 12

Therefore, the other number is 12

I'll mark you as the brainiest if you get this correct
thx xxx
This homework is due tomorrow
thx sm for your help

Answers

Answer:

12

Step-by-step explanation:

the absolute value from -2 to 26 is 28 you have 4 places after -2 so 28/4=7

you increase by 7 each time. -2+7=5   5+7=12 12 is the third place

Beth works at a furniture store.
She earns $1,200 a month plus 3% commission on all the furniture she
sells.
She sold x dollars worth of furniture this month.
Which expression represents the amount of money Beth earns this
month?
A. 1,200 + 0.03x
B. 1,200 + 1.03x
C. 1,200(0.03x)
D. 1,200(1.03x)

Answers

Answer:

A

Step-by-step explanation:

HAD QUESTON

Adjust the number into correct standard form.
60 x 103

Answers

60x+103 if that’s right let me know

Find the area of a circle with a radius of 6 centimeters. Use 3.14 for π.

Answers

area =pi x r^2
area = 3.14 x 6^2
so area is 113.04cm^2

Answer:

113.04

Step-by-step explanation:

Use the formula A=[tex]\pi[/tex][tex]r^{2}[/tex]

A= [tex]\pi (6^2 )[/tex]

6*6 =36

multiply 3.14 by 36

36*3.14=113.04

Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x

Answers

Answer:

hi

Step-by-step explanation:

I need help with this

Answers

A and C is the correct answers

(10x3 - 4x2 – 3x) + (x4 + 4x + 7x2 – x)

Answers

Answer:
x^4 + 36

Explanation:
Simplify by collecting like terms.

Please help me please

Answers

Answer:

B

Step-by-step explanation:

Could you help me thanks

Answers

Yes The answer is 2,384

Answer:

Miles per gallon, 72.9/2.7 =27

Step-by-step explanation:

what is 2x + 7x + 8a + 9a

Answers

Answer: 9x + 17a

Step-by-step explanation:

2x + 7x + 8a + 9a

2x+7x= 9x

8a+9a= 17a

= 9x +17a

Answer:

9x + 17a

Step-by-step explanation:

9x + 17a. (A side note is that you can't add x and a together because they are different variables.)

I’m being timed , I need help

Answers

Answer:

Step-by-step explanation:

Uh

Answer:

Time: 1, 16, 30, 40

Distance: 5/8, 10, 18 3/4, 25

Step-by-step explanation:

hope this helped

Given that f(x) = x/2 +5,
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(5)

Answers

Answer:

f(2)=6

f^-1(x)=2x-10

f^-1(5)=0

hope it helps

GRADE 7 MATH URGENT

A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?

Answers

A. 8 pizza pies at 10 pc. per pie = 80 available pieces

B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.

c. 22 pieces are left over.

D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.

E. Solve the equation 58 = 5X by dividing both sides by 5.

WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.

Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.

Answer:

10 pizzas

Step-by-step explanation:

To find the answer for this question you need to multiply 3/8 by 25.

3/8 * 25 = 9.375

You can't buy .375 of a pizza so you round it up and get 10.


Solve for x.
6x + 10 = 52

Answers

x = 7
(6)(7) + 10 = 52
42 + 10 = 52

Answer:

7

Step-by-step explanation:

well let’s just think that there’s already 10. let’s ignore the 10 for later.

now let’s think about 6x. of course the x is unknown (variable) which we have to find, so what you want to do, (easy way) think of every multiple of the number 6. so that of course includes 6, 12, 18... etc. now if you continue, you will get to the number 42. now it might not click right there but 42... is what we need since we already have the 10. since 42 + 10 = 52, now we just need to find out what 42 divided by 6 is... 7! 7x6 or 7(6) is 42, plus the starting 10 is 52!

therefore, x = 7.

write the sentence as an equation, 341 is the same as 19 divided by b

Answers

Answer:

19/b =341

Step-by-step explanation:

Division in algebra is shown in fractions so if you put 19 over b it means 19 divided by b.

19/b=341 the dash is meant to be the division sign

A cylinder cooler has a diameter of 30inches and a height of 24 inches.Runners on a Marathon can use cone shaped cups to get a drink from the cooler.if the cups have a diameter Of 3 inches and a height of 4 inches,about how many full cups would be able to be filled from the cooler?Estimate useing 3.14 for pi.

Answers

Answer:

600 cups

Step-by-step explanation:

600. Cups turrrrrrrrrr

A tree measured 12 1/2
feet tall. Over the next 5 1/2
years it grew to be 51 feet tall.

During the 5 1/2
years, what was the average yearly growth rate of the tree?

Answers

Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)

Step-by-step explanation:

It's  12.5 feet the first year

51 feet 5 years later

If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft

12.5x4.08 is  51 feet.

So the tree grows approximately 1 and 5/8 feet a year

Months, x
1
2
3
4
5
# of people, y
18
36
72
144
288

I) Write an exponential function to model the number of people using a social media outlet after x months.
II) Using your formula above, predict the number of people using a social media outlet after 6 months.

Answers

Gejensjebsjabakabansnnsnsnsnsbsbbsbd

Jeremy received a Bill with a balance due of 25.60

Answers

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

70925 rakamları birer defa kallanılarak yazılabilecek 5 basamaklı en büyük teksayı ile 5 basamaklı en küçük çift sayınınn toplamı kaçtır

Answers

Answer:

194725

Step-by-step explanation:

Given the digits :

70925 : 7, 0, 9, 2, 5

Largest 5 - digit even number : 97520

Largest 5 - digit odd number : 97205

The sum of the largest even and odd numbers formed :

97520 + 97205

= 194725

if we vibe for 3 hrs and become freinds how long will we be freinds?

Answers

Answer:

it depends

Step-by-step explanation:

I could be very committed,

im 15 in july my name is mercedes. and im bi, I skate and taken

What is the 11th term of the sequence: 7, 13, 19, 25, ....

Answers

pattern is adding 6

so the 11th would be 67

Adds 6 each time so the nth term rule is
6n+1
the +1 because you take away the amount you add by from the first term
The substitute 11 into this so
6x11=66
66+1=67
11th term is 67

Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the combined amount is 12C + 35 + 120 where Cis the number of hours he worked, and L is the number of hours Lily worked. Lily says the combined amount is 12(C+ L) + 35. Who is right? Explain.

Answers

Answer:

Lily is right

Step-by-step explanation:

Carlos made:

12C + 35

Lily made:

12L

Together they made:

12C + 35 + 12L = 12(C + L) + 35

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

2[(483 2 - 151] help

Answers

Answer:

1630

Step-by-step explanation:

Hope this helps

Solve the following using long division.

9720 / 18

Answers

Answer:

first digit: 9/18 = 0 and 9 left

second digit: 97/18 = 5 and 7 left

third digit: 72/18 = 4 and 0 left

fourth digit: 00 / 18 = 0 and 0 left

Answer is 540 (skipped the first 0).

Step-by-step explanation:

Please note that you add another digit to what was left in the previous step.

what's the slope in intercept form pls help me

Answers

Answer:

y=1x+1

Step-by-step explanation:

How many radians is 252°?
Give the exact answer in simplest form

Answers

Radian is a more advanced degrees measurement that is easier to use in trigonometry physics etc.

A full circle 360 degrees is 2pi radian.

We just need to find the ratio of 252 degrees to 360 degrees and multiply that by 2pi.

252/360*2pi(rad)

=126/180*2pi(rad)

=63/90*2pi(rad)

=21/30*2pi(rad)

=7/10*2pi(rad)

=7/5*pi (Radian)

Hope it helps and sorry for my bad grammar.

If something travels 4 meters in one second, what is its speed?

Answers

Answer:

1.8 speed

Step-by-step explanation:

Answer:

4 m/s

Step-by-step explanation:

speed = distance/ time

speed = 4/1

speed = 4m/s

can anyone help with this?

Answers

The answer is B. because 0.09 would the youngest, 30% transfers to 0.3 which would be the second youngest, 1.98 would be the third youngest, and the square root of 9 is 3, which would be the oldest.
Other Questions
can someone please help meeee ? How does DNA replication in prokaryotes differ from replication in eukaryotes?Prokaryotic chromosomes have telomeres, and eukaryotic chromosomes do not. Prokaryotic chromosomes have a single origin of replication, while eukaryotic chromosomes have many.The prokaryotic DNA had multiple parts to be replicated, compared to one long chromosome in eukaryotes.The rate of elongation during replication is slower in prokaryotes than in eukaryotes. Convert the arc length of 6.86 radians into cycles.Plz convert this for me people have been putting random comments you go to the park on a windy day to fly a kite. You have released 40 ft of string. The strings make it angle of 36 degrees with the ground. How high is the kite in the air This is for a test what is Pangaea Max is shining a flashlight at the wall. What happens? if x is a positive integer, for how many dofferent values of x is square root 48 over x a whole number Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales 38 What does the point of view used in the excerpt help the reader understand? F How the adults found the garden G How T.J.'s reactions differ from the reactions of the other boys H How long the boys worked on the garden J How the boys agreed to help T. J. plant the garden What molecule contains hydrogen , carbon, nitrogen, and oxygen? I visited it dash (last) sunday. Change the adjectives Which of the following strem class is used to perform both input and output file operation.a. ifstreamb. ofstreamc. iostreamd. fstream Why is it important for body cell to have twice and many chromosomes as sex cells? 40000+10000n= how do i find the answer 18. The mass of a metal ring is 116 g. You fill a graduated cylinder with 15 mL ofwater and drop the ring into the cylinder. The water level rises to the 26 mL mark.Which of the following could be the composition of the object?Metal Composition Density (g/cm)Silver10.58.Rhodium12.41Gold19.32Platinum21.5ACD.19. Which of the following is an example of a chemical change?1 The bread starts to rise in the oven.II The egg white starts to turn into an opaque solid on the frying panIII Steam from the shower starts to condense on the bathroom mirror.A. I and II onlyC. II and III onlyB. I and III onlyD. I, II, and III20. Which of the following is an example of a physical change?A. The silver ring is starting to tarnish.B. The antacid helps calm your stomach.C. A clump of clay is moulded into a bowl.D. Milk goes sour when it is left out for days. Why should we not take antibiotics without the prescription of a doctor Canada is located __________ of the United States.A.westB.northC.eastD.southPlease select the best answer from the choices providedABCD 1. In what ways does Du Bois criticize and in what ways does he seem to embrace the idea of inborn racial characteristics and abilities? 2. How does Du Bois appeal to both American and world history to bolster his claim to inclusion and equality for black Americans? How did the introduction of Islam impact African kingdoms Why did FDR take the U.S. off the gold standard?